The Birdnest data discussed in Exercise 1 contain many characteristics of North American passerines (“perching birds”).
a. Create a logistic regression model using bird length (Length) and average number of eggs (No. eggs) to estimate the probability that a bird species has a closed nest type.
b. Use the drop-in-deviance test to determine if the model with Length and No. eggs should be used instead of the model with only Length as an explanatory variable ( as shown in Exercise 1).
c. Use the drop-in-deviance test to create and interpret a best model to estimate the probability of the nest being closed (closed = 1). Start with a full model that includes body length in centimeters (Length), average number of eggs in a clutch (No. eggs), egg color (Color), incubation time of the eggs in days (Incubation), and number of days the chicks stay in the nest (Nestling).